97157034000 has 240 divisors, whose sum is σ = 365440870704. Its totient is φ = 23915520000.

The previous prime is 97157033923. The next prime is 97157034011. The reversal of 97157034000 is 43075179.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 71346683664 + 25810350336 = 267108^2 + 160656^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26400 + ... + 441600.

Almost surely, 2^97157034000 is an apocalyptic number.

97157034000 is a gapful number since it is divisible by the number (90) 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 97157034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182720435352).

97157034000 is an abundant number, since it is smaller than the sum of its proper divisors (268283836704).

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

97157034000 is a wasteful number, since it uses less digits than its factorization.

97157034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415243 (or 415224 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 97157034000 in words is "ninety-seven billion, one hundred fifty-seven million, thirty-four thousand".