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137121536000400 = 243527298312135591
BaseRepresentation
bin11111001011011000011000…
…011100011100000110010000
3122222111200122121101210002020
4133023120120130130012100
5120433044401204003100
61203344433005451440
740611463330011450
oct3713303034340620
9588450577353066
10137121536000400
113a766a0a359506
12134670a4b70b80
135b68675383343
1425c0a09731d60
1510cbca4a095a0
hex7cb61871c190

137121536000400 has 960 divisors, whose sum is σ = 526089648107520. Its totient is φ = 29866720665600.

The previous prime is 137121536000399. The next prime is 137121536000431. The reversal of 137121536000400 is 4000635121731.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24525401605 + ... + 24525407195.

It is an arithmetic number, because the mean of its divisors is an integer number (548010050112).

Almost surely, 2137121536000400 is an apocalyptic number.

137121536000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137121536000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263044824053760).

137121536000400 is an abundant number, since it is smaller than the sum of its proper divisors (388968112107120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137121536000400 is a wasteful number, since it uses less digits than its factorization.

137121536000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6944 (or 6933 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 137121536000400 in words is "one hundred thirty-seven trillion, one hundred twenty-one billion, five hundred thirty-six million, four hundred", and thus it is an aban number.