151061400 has 288 divisors, whose sum is σ = 611270400. Its totient is φ = 32659200.

The previous prime is 151061399. The next prime is 151061429. The reversal of 151061400 is 4160151.

151061400 is a `hidden beast` number, since 1 + 51 + 0 + 614 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 239085 + ... + 239715.

Almost surely, 2^151061400 is an apocalyptic number.

151061400 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 151061400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305635200).

151061400 is an abundant number, since it is smaller than the sum of its proper divisors (460209000).

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

151061400 is a wasteful number, since it uses less digits than its factorization.

151061400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 151061400 is about 12290.7038040952. The cubic root of 151061400 is about 532.5795688808.

The spelling of 151061400 in words is "one hundred fifty-one million, sixty-one thousand, four hundred".