137172000 has 384 divisors, whose sum is σ = 543449088. Its totient is φ = 29568000.

The previous prime is 137171971. The next prime is 137172029. The reversal of 137172000 is 271731.

It is an interprime number because it is at equal distance from previous prime (137171971) and next prime (137172029).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1931965 + ... + 1932035.

It is an arithmetic number, because the mean of its divisors is an integer number (1415232).

Almost surely, 2^137172000 is an apocalyptic number.

137172000 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 137172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271724544).

137172000 is an abundant number, since it is smaller than the sum of its proper divisors (406277088).

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

137172000 is a wasteful number, since it uses less digits than its factorization.

137172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 137172000 is about 11712.0450818804. The cubic root of 137172000 is about 515.7293214083.

The spelling of 137172000 in words is "one hundred thirty-seven million, one hundred seventy-two thousand".